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Simplifying 0.14(y + -4) + 0.12y = 0.08y + -0.05(40) Reorder the terms: 0.14(-4 + y) + 0.12y = 0.08y + -0.05(40) (-4 * 0.14 + y * 0.14) + 0.12y = 0.08y + -0.05(40) (-0.56 + 0.14y) + 0.12y = 0.08y + -0.05(40) Combine like terms: 0.14y + 0.12y = 0.26y -0.56 + 0.26y = 0.08y + -0.05(40) Multiply -0.05 * 40 -0.56 + 0.26y = 0.08y + -2 Reorder the terms: -0.56 + 0.26y = -2 + 0.08y Solving -0.56 + 0.26y = -2 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.56 + 0.26y + -0.08y = -2 + 0.08y + -0.08y Combine like terms: 0.26y + -0.08y = 0.18y -0.56 + 0.18y = -2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.56 + 0.18y = -2 + 0.00 -0.56 + 0.18y = -2 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.18y = -2 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.18y = -2 + 0.56 0.18y = -2 + 0.56 Combine like terms: -2 + 0.56 = -1.44 0.18y = -1.44 Divide each side by '0.18'. y = -8 Simplifying y = -8
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